3168122400 has 216 divisors, whose sum is σ = 11557580580. Its totient is φ = 815646720.

The previous prime is 3168122389. The next prime is 3168122437. The reversal of 3168122400 is 42218613.

3168122400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1974558096 + 1193564304 = 44436^2 + 34548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201214 + ... + 216386.

Almost surely, 2^3168122400 is an apocalyptic number.

3168122400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778790290).

3168122400 is an abundant number, since it is smaller than the sum of its proper divisors (8389458180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3168122400 is a wasteful number, since it uses less digits than its factorization.

3168122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3168122400 is about 56286.0764310322. The cubic root of 3168122400 is about 1468.7030070373.

The spelling of 3168122400 in words is "three billion, one hundred sixty-eight million, one hundred twenty-two thousand, four hundred".